Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1078j |
Isogeny class |
Conductor |
1078 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
17661952 = 215 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11+ -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78,139] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
1071912625/360448 |
j-invariant |
L |
2.9898785590736 |
L(r)(E,1)/r! |
Ω |
2.0128530600701 |
Real period |
R |
0.099026223635336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8624z1 34496bh1 9702v1 26950j1 |
Quadratic twists by: -4 8 -3 5 |